Search a number
-
+
78605040 = 24351931697
BaseRepresentation
bin1001010111101…
…10101011110000
312110220112211210
410223312223300
5130110330130
611444440120
71643063133
oct453665360
9173815753
1078605040
1140409148
12223a9040
1313392477
14a62221a
156d7a5b0
hex4af6af0

78605040 has 80 divisors (see below), whose sum is σ = 245082528. Its totient is φ = 20840448.

The previous prime is 78605039. The next prime is 78605041. The reversal of 78605040 is 4050687.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (78605039) and next prime (78605041).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 78604989 and 78605007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78605041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45472 + ... + 47168.

Almost surely, 278605040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78605040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122541264).

78605040 is an abundant number, since it is smaller than the sum of its proper divisors (166477488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

78605040 is a wasteful number, since it uses less digits than its factorization.

78605040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 78605040 is about 8865.9483418301. The cubic root of 78605040 is about 428.3677800711.

The spelling of 78605040 in words is "seventy-eight million, six hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 193 240 386 579 772 965 1158 1544 1697 1930 2316 2895 3088 3394 3860 4632 5091 5790 6788 7720 8485 9264 10182 11580 13576 15440 16970 20364 23160 25455 27152 33940 40728 46320 50910 67880 81456 101820 135760 203640 327521 407280 655042 982563 1310084 1637605 1965126 2620168 3275210 3930252 4912815 5240336 6550420 7860504 9825630 13100840 15721008 19651260 26201680 39302520 78605040